690861600 has 648 divisors, whose sum is σ = 2931007716. Its totient is φ = 152064000.

The previous prime is 690861583. The next prime is 690861617. The reversal of 690861600 is 6168096.

It is an interprime number because it is at equal distance from previous prime (690861583) and next prime (690861617).

It can be written as a sum of positive squares in 6 ways, for example, as 14653584 + 676208016 = 3828^2 + 26004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11325570 + ... + 11325630.

Almost surely, 2^690861600 is an apocalyptic number.

690861600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465503858).

690861600 is an abundant number, since it is smaller than the sum of its proper divisors (2240146116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

690861600 is a wasteful number, since it uses less digits than its factorization.

690861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 690861600 is about 26284.2462322966. The cubic root of 690861600 is about 884.0232448861.

The spelling of 690861600 in words is "six hundred ninety million, eight hundred sixty-one thousand, six hundred".